Properties of the Number -585

Five Hundred Eighty-Five

Basics

Value: -586 → -585 → -584

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: Yes

Factorization: 3 ² × 5 × 13

Divisors: 1, 3, 5, 9, 13, 15, 39, 45, 65, 117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1001001001

Octal: -1111

Duodecimal: -409

Hexadecimal: -249

Square: 342225

Square Root: 24.186773244895647

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Expansion of q^-1/24 (m (1-m) / 16)^1/24 in powers of q, where m = k² is the parameter and q is the nome for Jacobian elliptic functions. A81360

Values of n such that L(11) and N(11) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227449

Expansion of 1/(1+9·x*c(x)), where c(x) = g.f. for Catalan numbers A000108. A127053

Alternating row sums of Sheffer triangle A143496 (4-restricted Stirling2 numbers). A193684

a(0)=0, a(1)=1, a(n)=((2·n-1)*a(n-1)-5·n*a(n-2))/(n-1). A102840

Expansion of e.g.f. theta₃^-1/2. A15680

The r-th term of the n-th row of the following array contains the sum of r successively decreasing integers beginning from n, 0 < r <= n (see Example). A110426

Expansion of χ(-q)⁵ / χ(-q⁵) in powers of q where χ() is a Ramanujan θ function. A138521

Riordan array (1/(1-9x)^1/3, x/(9x-1)). A283150

Triangle T, read by rows, equal to the matrix inverse of the triangle defined by [T^-1](n,k) = A075263(n,k)/n!, for n>=k>=0. A106338